Calculate Rectangle Perimeter: Triangle Perimeter = 20 with Side X+2

Look at the following rectangle:

AAABBBCCCDDD10X+26

Given that the perimeter of the triangle BCD is 20, what is the perimeter of the rectangle ABCD?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's begin by finding the perimeter of the rectangle.
00:13 To find a triangle's perimeter, add up the lengths of all its sides.
00:24 Now, plug in the given values to solve for X. Take your time.
00:41 Great job! Now gather all similar terms together.
00:48 Let's focus on getting X alone on one side of the equation.
00:53 You found the value of X! Next, use this to find the side length.
01:03 Remember, opposite sides in a rectangle are equal.
01:18 To find the perimeter of the rectangle, add up all the sides.
01:23 Substitute in the values you have and calculate the perimeter.
01:42 And there you have it! That's your solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following rectangle:

AAABBBCCCDDD10X+26

Given that the perimeter of the triangle BCD is 20, what is the perimeter of the rectangle ABCD?

2

Step-by-step solution

Given that the perimeter of triangle BCD is 20

We can therefore insert the existing data and calculate as follows:

20=10+6+x+2 20=10+6+x+2

20=16+x+2 20=16+x+2

20−16−2=x 20-16-2=x

x=2 x=2

Now we can calculate the BC side: 2+2=4

Perimeter of the rectangle ABCD:

6+6+4+4=12+8=20 6+6+4+4=12+8=20

3

Final Answer

20

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

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